COTORSION PAIRS ASSOCIATED WITH AUSLANDER CATEGORIES Page 1 ISRAEL
JOURNAL OF MATHEMATICS 174 (2009), 253–268 DOI: 10.1007/s11856-009-0113-y …

We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we
study a relationship between an interval of the poset of cotorsion pairs and the poset of …

Let $\mathcal B $ be an extriangulated category with enough projectives and enough
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …

In the papers of Nakaoka, he introduced the notion of hearts of (twin) cotorsion pairs on
triangulated categories and showed that they have structures of (semi-) abelian categories …

Given a double category D such that D_0 has pushouts, we characterize oplax/lax
adjunctions between D and Cospan (D_0) such that the right adjoint is normal and restricts …

The notion of extriangulated category was introduced by Nakaoka and Palu giving a
simultaneous generalization of exact categories and triangulated categories. Our first aim is …

We give analogues of the Auslander correspondence for two classes of triangulated
categories satisfying certain finiteness conditions. The first class is triangulated categories …

We show that a right triangulated category is best behaved when its shift satisfies conditions
making it what we call a right semi-equivalence. We consider right triangulated categories …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …